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Prime factorization of 1540:

Prime factorization of 1540 = 1×2×2×5×7×11= $ 1 × 2^2 × 5 × 7 × 11 $

By prime factorization of 1540 we follow 5 simple steps:

1. We write number 1540 above a 2-column table

2. We divide 1540 by the smallest possible prime factor

3. We write down on the left side of the table the prime factor and next number to factorize on the ride side

4. We continue to factor in this fashion (we deal with odd numbers by trying small prime factors)

5. We continue until we reach 1 on the ride side of the table

1540 | |

prime factors | number to factorize |

2 | 770 |

2 | 385 |

5 | 77 |

7 | 11 |

11 | 1 |

Prime factorization of 1540 = 1×2×2×5×7×11= $ 1 × 2^2 × 5 × 7 × 11 $

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